ON THE SOLUTIONS OF FRACTIONAL REACTION-DIFFUSION EQUATIONS

被引：7

作者：

Singh, Jagdev ^{[1
]}

Kumar, Devendra ^{[2
]}

Rathore, Sushila ^{[3
]}

机构：

[1] Jagan Nath Univ, Dept Math, Jaipur 303901, Rajasthan, India

[2] JaganNath Gupta Inst Engn & Technol, Dept Math, Jaipur 302022, Rajasthan, India

[3] Jagan Nath Univ, Dept Phys, Jaipur 303901, Rajasthan, India

来源：

MATEMATICHE | 2013年 / 68卷 / 01期

关键词：

Fractional reaction; diffusion equation; Mittag-Leffler function; Caputo derivative; Generalized Riemann-Liouville fractional derivative; Riesz-Feller fractional derivative; Laplace transform; Fourier transform;

D O I：

10.4418/2013.68.1.3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with the generalized Riemann-Liouville fractional derivative as the time derivative and Riesz-Feller fractional derivative as the space-derivative. The results are derived by the application of the Laplace and Fourier transforms in compact and elegant form in terms of Mittag-Leffler function and H-function. The results obtained here are of general nature and include the results investigated earlier by many authors.

引用

页码：23 / 32

页数：10

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